Q: What are the factor combinations of the number 13,432,111?

 A:
Positive:   1 x 134321117 x 191887311 x 122110177 x 174443
Negative: -1 x -13432111-7 x -1918873-11 x -1221101-77 x -174443


How do I find the factor combinations of the number 13,432,111?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 13,432,111, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 13,432,111
-1 -13,432,111

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 13,432,111.

Example:
1 x 13,432,111 = 13,432,111
and
-1 x -13,432,111 = 13,432,111
Notice both answers equal 13,432,111

With that explanation out of the way, let's continue. Next, we take the number 13,432,111 and divide it by 2:

13,432,111 ÷ 2 = 6,716,055.5

If the quotient is a whole number, then 2 and 6,716,055.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 13,432,111
-1 -13,432,111

Now, we try dividing 13,432,111 by 3:

13,432,111 ÷ 3 = 4,477,370.3333

If the quotient is a whole number, then 3 and 4,477,370.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 13,432,111
-1 -13,432,111

Let's try dividing by 4:

13,432,111 ÷ 4 = 3,358,027.75

If the quotient is a whole number, then 4 and 3,358,027.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 13,432,111
-1 13,432,111
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171177174,4431,221,1011,918,87313,432,111
-1-7-11-77-174,443-1,221,101-1,918,873-13,432,111

More Examples

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